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almond37 [142]
2 years ago
9

What is the y-value of the solution to the system below?​

Mathematics
2 answers:
myrzilka [38]2 years ago
8 0
Yes that’s completely true because of course you can’t say it is false
kirill [66]2 years ago
8 0

Answer:

Have you ever used the desmos graphing calculator?  You should use that.  Type in both of those equations.  If they intersect at a point, the y value of the ordered pair is your answer.  If the lines over lap, it is infinitely many solutions.  If they never intersect, there is no solution.

Step-by-step explanation:

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Plutonium-240 decays according to the function Q(t)=Q(subscripto)e^(-kt) where Q represents the quantity remaining after t years
svetoff [14.1K]
<span>The answer is 9,990 years. Using the exponential decay question, we can figure out how long it will take Plutonium-240 to decay from 27 grams to 9 grams. Setting the equation up looks like this, 9 = 27 e^ (-0.00011 t). From this you get, 0.333333 = e ^(-0.00011 t). Next, you simplify by dividing both sides by the natural log, -1.0986 = -0.00011 t. Finally, you solve by dividing both sides by -0.00011, giving 9,987 years for t, rounded up to 9,990 years.</span>
7 0
3 years ago
Read 2 more answers
An interger between -5 and -6
ivolga24 [154]

Answer:

None!

Step-by-step explanation:

First off, what is an integer? An integer is a number that is not a fraction or a whole number but it can be negative or positive.

-5 and -6 are both integers and they are both consecutive integers meaning that they are following one another. So they is no integer between -5 and -6.

4 0
1 year ago
A ball is chosen at random from a bag containing 150 balls that are either red or blue and either dull or shiny. There are 36 re
tino4ka555 [31]

Answer:

The probability of the chosen ball being shiny conditional on it being red is; 0.375

Step-by-step explanation:

Let A be the event that a red ball has been chosen

Let B be the event that a shiny ball has been chosen

Let S be the total outcomes = 150 balls

Thus;

P(A ∩ B ) = 36/150

A ∩ B' = 150 - 36 - 54

A ∩ B' = 60

Thus; P(A ∩ B') = 60/150

P(A') = 54/150

P(A) = (150 - 54)/150 = 96/150

Thus, probability of the chosen ball being shiny conditional on it being red is;

P(B | A) = P(B ∩ A)/P(A)

Thus; P(B | A) = (36/150)/(96/150)

P(B | A) = 0.375

8 0
2 years ago
A forestal station receives the locations of two fires, one of them in a forest located 11 Km heading N69°W from the station. Th
loris [4]

Answer:

  30.7 km

Step-by-step explanation:

The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...

  c = √(a² +b² -2ab·cos(C))

The angle measured between the two fires is ...

  180° -(69° -35°) = 146°

and the distance is ...

  c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015

  c ≈ 30.74

The straight-line distance between the two fires is about 30.7 km.

8 0
2 years ago
Please write the answer​
Travka [436]

\sf \dfrac{3^x - 5 \times 3^{(x-2)}}{3^{(x-3)}} \\ \\ \longrightarrow \sf \dfrac{ {3}^{x} }{ {3}^{(x - 3)}} - \frac{5}{ {3}^{(x - 3)} } \times {3}^{(x - 2)}  \\ \\ \longrightarrow \sf {3}^{[x - (x - 3)]} - \dfrac{5}{ {3}^{(x - 3)} } \times {3}^{(x - 2)} \\ \\ \longrightarrow \sf {3}^{3} - \dfrac{5}{ {3}^{(x - 3)} } \times \dfrac{ {3}^{x}}{9} \\ \\ \longrightarrow \sf {3}^{3} - \dfrac{5}{ \bigg(\dfrac{ {3}^{x} }{ {3}^{3} }\bigg) } \times \dfrac{ {3}^{x}}{9}\\ \\ \longrightarrow \sf {3}^{3} - \dfrac{ ({3}^{3})( 5)}{ {3}^{x} } \times \dfrac{ {3}^{x}}{9}\\ \\ \sf \longrightarrow {3}^{3} - (5 \times 3) \\  \\ \longrightarrow \sf \: 27 - 15 \\  \\ \longrightarrow \leadsto{\underline{\boxed{\sf{ \pink{ 12}}}}}

6 0
2 years ago
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